Traveling Wave Solutions for a Coupled KdV Equations
Journal of Advances in Mathematics and Computer Science · pp. 1027–1034 · Published 17 Feb 2014
10.9734/BJMCS/2014/5474Abstract
In this paper, we use a method in order to find exact explicit traveling solutions in the subspace of the phase space for coupled KdV equations. The key idea is removing a coupled relation for the given system so that the new systems can be solved. The existence of solitary wave solutions is obtained. It is shown that bifurcation theory of dynamical systems provides a powerful mathematical tool for solving a great many nonlinear partial differential equations in mathematical physics.
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